TY - JOUR

T1 - Digital quantum simulation with Rydberg atoms

AU - Weimer, H.

AU - Müller, M.

AU - Büchler, H. P.

AU - Lesanovsky, I.

N1 - Funding information: Acknowledgments H.W. acknowledges support by the National Science Foundation through a grant for the Institute for Theoretical Atomic, Molecular and Optical Physics at Harvard University and Smithso-nian Astrophysical Observatory and by a fellowship within the Postdoc Program of the German Academic Exchange Service (DAAD). I.L acknowledges funding by EPSRC. M.M. acknowledges support by the Austrian Science Fund (FOQUS), the European Commission (AQUTE) and the Institute of Quantum Information.

PY - 2011/9/24

Y1 - 2011/9/24

N2 - We discuss in detail the implementation of an open-system quantum simulator with Rydberg states of neutral atoms held in an optical lattice. Our scheme allows one to realize both coherent as well as dissipative dynamics of complex spin models involving many-body interactions and constraints. The central building block of the simulation scheme is constituted by a mesoscopic Rydberg gate that permits the entanglement of several atoms in an efficient, robust and quick protocol. In addition, optical pumping on ancillary atoms provides the dissipative ingredient for engineering the coupling between the system and a tailored environment.As an illustration, we discuss how the simulator enables the simulation of coherent evolution of quantum spin models such as the two-dimensional Heisenberg model and Kitaev's toric code, which involves four-body spin interactions.We moreover show that in principle also the simulation of lattice fermions can be achieved. As an example for controlled dissipative dynamics, we discuss ground state cooling of frustration-free spin Hamiltonians.

AB - We discuss in detail the implementation of an open-system quantum simulator with Rydberg states of neutral atoms held in an optical lattice. Our scheme allows one to realize both coherent as well as dissipative dynamics of complex spin models involving many-body interactions and constraints. The central building block of the simulation scheme is constituted by a mesoscopic Rydberg gate that permits the entanglement of several atoms in an efficient, robust and quick protocol. In addition, optical pumping on ancillary atoms provides the dissipative ingredient for engineering the coupling between the system and a tailored environment.As an illustration, we discuss how the simulator enables the simulation of coherent evolution of quantum spin models such as the two-dimensional Heisenberg model and Kitaev's toric code, which involves four-body spin interactions.We moreover show that in principle also the simulation of lattice fermions can be achieved. As an example for controlled dissipative dynamics, we discuss ground state cooling of frustration-free spin Hamiltonians.

KW - Digital quantum simulation

KW - Dissipative dynamics

KW - Quantum simulator

KW - Rydberg atoms

UR - http://www.scopus.com/inward/record.url?scp=80755168300&partnerID=8YFLogxK

U2 - 10.1007/s11128-011-0303-5

DO - 10.1007/s11128-011-0303-5

M3 - Article

AN - SCOPUS:80755168300

VL - 10

SP - 885

EP - 906

JO - Quantum information processing

JF - Quantum information processing

SN - 1570-0755

IS - 6

ER -